Effect of thermal modulation on the onset of double diffusive convection in a horizontal fluid layer

The effect of time periodic boundary temperatures on the onset of double diffusive convection in a horizontal two component fluid layer is studied using a linear stability analysis. The perturbation method is used to compute the critical thermal Rayleigh number and the corresponding wave number for...

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Veröffentlicht in:International journal of thermal sciences 2005-04, Vol.44 (4), p.323-332
Hauptverfasser: Malashetty, M.S., Basavaraja, D.
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Basavaraja, D.
description The effect of time periodic boundary temperatures on the onset of double diffusive convection in a horizontal two component fluid layer is studied using a linear stability analysis. The perturbation method is used to compute the critical thermal Rayleigh number and the corresponding wave number for small amplitude temperature modulation. The correction thermal Rayleigh number is calculated as a function of frequency of the modulation, Prandtl number, solute Rayleigh number, and the diffusivity ratio. It is found that the thermal modulation may stabilize an unstable system or destabilize a stable system. In particular it is found that low frequency symmetric modulation is destabilizing whereas the asymmetric modulation and lower wall temperature modulation are stabilizing. The effect of the solute Rayleigh number, ratio of the diffusivities and the Prandtl number are also reported. It is also found that the effect of modulation disappears for large frequency.
doi_str_mv 10.1016/j.ijthermalsci.2004.09.004
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subjects Buoyancy-driven instability
Convection
Convection and heat transfer
Double diffusion
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic stability
Physics
Stability
Thermal modulation
Turbulent flows, convection, and heat transfer
title Effect of thermal modulation on the onset of double diffusive convection in a horizontal fluid layer
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